(a) A triangular channel with side slope $1 \mathrm{H}: 1 \mathrm{~V}$ and longitudinal slope of 0,001 discharges water at a rate of $0.2 \mathrm{~m}^{3} / \mathrm{sec}$. Determine whether the channel is mild, steep or critical. Assume Manning's $\mathrm{n}=0.015$. For what range of depths will the flow be on a type 1,2 or 3 curve? 10
Explanation
To determine the type of channel, we compare the longitudinal slope with the critical slope. The critical slope is given by 1/14. Since the longitudinal slope is less than the critical slope, the channel is mild. The type of curve is determined by the Froude number. For depths less than 0.2 m, the Froude number is less than 1, so the flow is on a type 1 curve. For depths between 0.2 m and 0.5 m, the Froude number is between 1 and 2, so the flow is on a type 2 curve. For depths greater than 0.5 m, the Froude number is greater than 2, so the flow is on a type 3 curve.
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